172.04 is what percent of 16984 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 16984 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 16984, so we can write it down as 100%=16984.
4. We know, that x% equals 172.04 of the output value, so we can write it down as x%=172.04.
5. Now we have two simple equations:
1) 100%=16984
2) x%=172.04
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=16984/172.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.04 is what percent of 16984

100%/x%=16984/172.04
(100/x)*x=(16984/172.04)*x       - we multiply both sides of the equation by x
100=98.721227621483*x       - we divide both sides of the equation by (98.721227621483) to get x
100/98.721227621483=x
1.0129533678756=x
x=1.0129533678756

now we have:
172.04 is 1.0129533678756% of 16984